The coefficient of restitution, e, is a measurement developed by Newton that is
ID: 1778914 • Letter: T
Question
The coefficient of restitution, e, is a measurement developed by Newton that is commonly used in sports such as golf, tennis, and basketball. This coefficient of a bouncing ball or object is defined as the ratio of speed right after impact to speed right before impact.
A) Derive a formula for the coefficient of restitution for a ball released from an initial height h0 that rebounds to a final height h in terms of the variables h and h0.
B) Calculate e for a golf ball that bounces to a height of 60 cm from a release height of 83 cm.
C) The upper allowed limit for e for a golf club is 0.83. If the data in part (b) was measured by bouncing it off of a golf driver, was the driver legal?
Explanation / Answer
(A) converting height into equivalent speed,
v = sqrt(2gh)
e = velocity of separation / velocity of approach
e = sqrt(2 gh ) / sqrt(2 g h0) = sqrt(h/h0)
(B) e = sqrt(0.60 / 0.83) = 0.85
(C) that is more than allowed limit.
no it was not legal.